Algebraic proof assistants in HOL
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We explore several ways to formalize the algebraic laws of CSP-like languages in HOL. The intent of the paper is to show how HOL can be tailored to acting as a proof assistant. The emphasis is therefore on the consequences of various choices to be made during the formalization for writing tactics. We end up with a proof assistant that allows a user to make steps of the granularity of an algebraic law. It is not the purpose of this paper to show in HOL that the algebraic laws of some CSP-like language are sound; the purpose is to show how HOL can be used to apply the algebraic laws and act as a rewrite system.
KeywordsAlgebraic Approach Parallel Composition Proof Assistant High Order Logic Internal Function
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